Lower bound analysis of soil slope stability using finite elements subjected to pore water pressure

WANG Jun-xing; LI Ze; CHEN Wei

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Lower bound analysis of soil slope stability using finite elements subjected to pore water pressure

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- Lower bound analysis of soil slope stability using finite elements subjected to pore water pressure
- Vol. 26, Issue 8, (2005)
- 作者机构：
  
  武汉大学水资源与水电工程科学国家重点实验室,武汉,430072
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU413
- Online First：26 December 2013，
  
  Published：2005
- 稿件说明：
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WANG Jun-xing, LI Ze, CHEN Wei. Lower bound analysis of soil slope stability using finite elements subjected to pore water pressure[J]. 2005, 26(8).
DOI：

WANG Jun-xing, LI Ze, CHEN Wei. Lower bound analysis of soil slope stability using finite elements subjected to pore water pressure[J]. 2005, 26(8). DOI：

摘要

以极限分析下限法理论为基础，应用有限单元思想离散结构物，建立了同时满足平衡条件、应力边界条件、屈服条件和应力间断条件的静力许可应力场，其中孔隙水压力被当作一种类似于重力的外力荷载。引入线性数学规划手段后，得到了考虑孔隙水压力的边坡稳定的下限法数学规划模型，由此可以求出安全系数的下限解及其对应的应力场。最后，以2个经典的土坡为算例，与多种方法的分析结果比较，论证了该方法的正确性。

Abstract

Based on the theory of lower bound limit analysis

finite element are used to discretize the mechanism. The statically admissible stress fields that are satisfied the conditions of equilibrium

stress boundary

yielding and stress discontinuity

are constructed. The pore water pressure is considered as an external force

similar to gravity. By using the idea of linear programming

lower bound limit analysis models of mathematical programming for slope stability are established; the model can evaluate the safety factors and stress field of lower bound. Finally

taking two classical soil slopes for examples of calculating slope stability

the comparisons among the results of various methods are made. The results indicate the correctness of the method and the program.

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